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Content Area: Math
Index: 4.1A Grade 8 CPI 3
Standard: 4.1 - Number and Numerical Operations
Strand: C - Estimation
Cumulative Progress Indicator: 3 - The student will understand and use ratios, proportions, and percents (including percents greater than 100 and less than 1) in a variety of situations.
Grade: 8
Sample Activities:
· Students develop an estimate of pi by carefully measuring the diameter and circumference of a variety of circular objects (cans, bicycle tires, clocks, wooden blocks). They list the measures in a table and discuss observations and possible relationships. After the estimate is made, pi is used to solve a variety of real-world circle problems.
· Students use holiday circulars advertising big sales on games and toys to comparison shop for specific items between different stores. Is the new Nintendo game, Action Galore, cheaper at Sears where it is 20% off their regular price of $49.95 or at Macy's where it's specially priced at $41.97?
· One morning, as the students arrive at school, they see a giant handprint left on the blackboard overnight. They measure it and find it to be almost exactly one meter long. How big was the person who left the print? Could she have fit in the room to make the print, or did she have to reach in through the window? How could you decide how much she weighs?
· Students read Jim and the Giant Beanstalk by Raymond Briggs. Jim helps the aging giant by measuring his head and getting giant eyeglasses, false teeth and a wig. The students use the measures given in the book to find the size of the giant's hand and then his height.
· Students develop a sampling strategy and use proportions to determine the population of Bean City (NCTM Addenda Booklet, Grade 6), whose inhabitants consist of three types of beans.
· Students discuss different ways of finding "easy" percents, such as 50% of 30 or 15% of 25. They then generate percent exercises that can be solved mentally and share them with their classmates.
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